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andreev551 [17]
3 years ago
8

Which number line represtents the solution to |x+4|=2?​

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

Points -2 and -6 on the number line are the two solutions.

Step-by-step explanation:

Use the definition of absolute value as a starting point

|x|=x\,\,\mbox{for}\,\,x\geq 0\\|x|=-x\,\,\mbox{for}\,\,x

To solve the equation, you need to treat the two cases as above:

|x+4|=x+4=2\,\,\,\mbox{for}\,\,x+4\geq 0\implies x\geq -4\\x+4=2\implies x=-2

The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:

|x+4|=-(x+4)=2\,\,\,\mbox{for}\,\,x+4< 0\implies x

Again, the second solution -6 complies with the requirement that x<-4, so it is valid.

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madam [21]

Answer:

x=8y/3-4

Step-by-step explanation:

What we have to do to solve for X into re arrange the equation so that X is by itself on one side of the equation.  To start we will divide both sides by 3/8 to move it away from the X side and we get

8y/3=x+4 then we will subtract both sides by 4 to get x all by itself

8y/3-4=x

I hope this helps and please don't hesitate to ask if there is anything still unclear!

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Step-by-step explanation:

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Hope that helps

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2 years ago
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Paha777 [63]
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3 years ago
Is a number of television in a household a discrete quantitative or continuous quantitative
mezya [45]

discrete, you cannot have 1.5 televisions

generally the number of X is a discrete variable.

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nordsb [41]

Answer:

All real numbers.

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